The Extended Tanh Method and the Exp-Function Method to Solve a Kind of Nonlinear Heat Equation

The Extended Tanh Method and the Exp-Function Method to Solve a Kind of Nonlinear Heat Equation

We study a kind of nonlinear heat equation with temperature-dependent thermal properties by the aid of the extended Tanh method and the Exp-function method. We obtain abundant new exact solutions of the equation. By comparing both of the methods, we find that the Exp-function method gives more solut...

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Bibliographic Details
Main Author: Weimin Zhang
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2010/935873
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spelling doaj-ad830094c80e46dfbfdf3965ffabb6c92020-11-24T22:15:58ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472010-01-01201010.1155/2010/935873935873The Extended Tanh Method and the Exp-Function Method to Solve a Kind of Nonlinear Heat EquationWeimin Zhang0School of Mathematics, Jiaying University, Meizhou, Guangdong 514015, ChinaWe study a kind of nonlinear heat equation with temperature-dependent thermal properties by the aid of the extended Tanh method and the Exp-function method. We obtain abundant new exact solutions of the equation. By comparing both of the methods, we find that the Exp-function method gives more solutions in this problem.http://dx.doi.org/10.1155/2010/935873
collection DOAJ
language English
format Article
sources DOAJ
author Weimin Zhang
spellingShingle Weimin Zhang
The Extended Tanh Method and the Exp-Function Method to Solve a Kind of Nonlinear Heat Equation
Mathematical Problems in Engineering
author_facet Weimin Zhang
author_sort Weimin Zhang
title The Extended Tanh Method and the Exp-Function Method to Solve a Kind of Nonlinear Heat Equation
title_short The Extended Tanh Method and the Exp-Function Method to Solve a Kind of Nonlinear Heat Equation
title_full The Extended Tanh Method and the Exp-Function Method to Solve a Kind of Nonlinear Heat Equation
title_fullStr The Extended Tanh Method and the Exp-Function Method to Solve a Kind of Nonlinear Heat Equation
title_full_unstemmed The Extended Tanh Method and the Exp-Function Method to Solve a Kind of Nonlinear Heat Equation
title_sort extended tanh method and the exp-function method to solve a kind of nonlinear heat equation
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2010-01-01
description We study a kind of nonlinear heat equation with temperature-dependent thermal properties by the aid of the extended Tanh method and the Exp-function method. We obtain abundant new exact solutions of the equation. By comparing both of the methods, we find that the Exp-function method gives more solutions in this problem.
url http://dx.doi.org/10.1155/2010/935873
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AT weiminzhang extendedtanhmethodandtheexpfunctionmethodtosolveakindofnonlinearheatequation
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